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Simplifying 3x + 4x2 + 5 = 2x + -3x2 + 2 Reorder the terms: 5 + 3x + 4x2 = 2x + -3x2 + 2 Reorder the terms: 5 + 3x + 4x2 = 2 + 2x + -3x2 Solving 5 + 3x + 4x2 = 2 + 2x + -3x2 Solving for variable 'x'. Reorder the terms: 5 + -2 + 3x + -2x + 4x2 + 3x2 = 2 + 2x + -3x2 + -2 + -2x + 3x2 Combine like terms: 5 + -2 = 3 3 + 3x + -2x + 4x2 + 3x2 = 2 + 2x + -3x2 + -2 + -2x + 3x2 Combine like terms: 3x + -2x = 1x 3 + 1x + 4x2 + 3x2 = 2 + 2x + -3x2 + -2 + -2x + 3x2 Combine like terms: 4x2 + 3x2 = 7x2 3 + 1x + 7x2 = 2 + 2x + -3x2 + -2 + -2x + 3x2 Reorder the terms: 3 + 1x + 7x2 = 2 + -2 + 2x + -2x + -3x2 + 3x2 Combine like terms: 2 + -2 = 0 3 + 1x + 7x2 = 0 + 2x + -2x + -3x2 + 3x2 3 + 1x + 7x2 = 2x + -2x + -3x2 + 3x2 Combine like terms: 2x + -2x = 0 3 + 1x + 7x2 = 0 + -3x2 + 3x2 3 + 1x + 7x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 3 + 1x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.4285714286 + 0.1428571429x + x2 = 0 Move the constant term to the right: Add '-0.4285714286' to each side of the equation. 0.4285714286 + 0.1428571429x + -0.4285714286 + x2 = 0 + -0.4285714286 Reorder the terms: 0.4285714286 + -0.4285714286 + 0.1428571429x + x2 = 0 + -0.4285714286 Combine like terms: 0.4285714286 + -0.4285714286 = 0.0000000000 0.0000000000 + 0.1428571429x + x2 = 0 + -0.4285714286 0.1428571429x + x2 = 0 + -0.4285714286 Combine like terms: 0 + -0.4285714286 = -0.4285714286 0.1428571429x + x2 = -0.4285714286 The x term is 0.1428571429x. Take half its coefficient (0.07142857145). Square it (0.005102040819) and add it to both sides. Add '0.005102040819' to each side of the equation. 0.1428571429x + 0.005102040819 + x2 = -0.4285714286 + 0.005102040819 Reorder the terms: 0.005102040819 + 0.1428571429x + x2 = -0.4285714286 + 0.005102040819 Combine like terms: -0.4285714286 + 0.005102040819 = -0.423469387781 0.005102040819 + 0.1428571429x + x2 = -0.423469387781 Factor a perfect square on the left side: (x + 0.07142857145)(x + 0.07142857145) = -0.423469387781 Can't calculate square root of the right side. The solution to this equation could not be determined.
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